It is possible to travel 500+ light years in 80 years. And you don't need to travel faster than light. Stephen Hawking mentioned the possibility at the end of his article.
Here's how
Use a giant rocket. It needs to carry rocket fuel for 6 years of accelerating. After the 6 years, you would travel at 99% of the speed of light. You would be moving very fast in space. You would be moving less in time. Your clock would go slower than clocks on Earth.
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